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Finding the Third Proportional to 148,599 and 330,345

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Solution

The third proportional to 148,599 and 330,345 is: 734,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,599 : 330,345 = 330,345 : x
  2. Step 2: Convert to fraction form
    148,599/330,345 = 330,345/x
  3. Step 3: Cross multiply
    148,599x = 330,345 × 330,345
  4. Step 4: Simplify right side
    148,599x = 109,127,819,025
  5. Step 5: Solve for x
    x = 109,127,819,025/148,599
  6. Step 6: Final answer
    x = 734,377.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.